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在水平井产量公式的应用中,经常会遇到各向异性和偏心距的问题,这一问题的解决涉及到计算结果的可靠性。目前,考虑各向异性和偏心距的水平井产量公式,均由Joshi提出。但Joshi只提供了公式的结果,而没有具体的推导过程,因此,很难判断公式的可靠性和正确性。在附录中,对考虑各向异性和偏心距的水平井产量公式,进行了推导,得到了新的结果和认识。通过Joshi和陈氏公式的实际应用表明:①各向异性对水平井产量的影响非常明显,而偏心距则影响较小;②Joshi的只考虑各向异性的水平井产量公式存在问题较大;(3)Joshi考虑各向异性和偏心距影响的水平产量公式,在对数的偏心距项中,不应该考虑非均质的影响,而且偏心距前应当是正号而不是负号。
In the application of horizontal well productivity formula, the problems of anisotropy and eccentricity are often encountered. The solution of this problem involves the reliability of the calculation results. At present, horizontal well productivity formulas that consider anisotropy and eccentricity are all proposed by Joshi. However, Joshi only provided the result of the formula without a specific derivation process, so it is difficult to judge the reliability and correctness of the formula. In the appendix, the horizontal well yield formula considering anisotropy and eccentricity is deduced and new results and understanding are obtained. The practical application of Joshi and Chen’s formula shows that: (1) the anisotropy has obvious effect on the horizontal well yield, but the eccentricity has less influence; (2) Joshi’s anisotropic horizontal well yield formula has big problems; ( 3) Joshi considers horizontal anisotropy and eccentricity yield effects formulas that should not account for the effect of inhomogeneity in the logarithmic eccentricity term, but rather positive rather than negative in front of the eccentricity.